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Finding the Fourth Proportional to 379,617.44, 523,952.16 and 315,893.12

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Solution

The fourth proportional to 379,617.44, 523,952.16 and 315,893.12 is: 435,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,617.44 : 523,952.16 = 315,893.12 : x
  2. Step 2: Convert to fraction form
    379,617.44/523,952.16 = 315,893.12/x
  3. Step 3: Cross multiply
    379,617.44x = 523,952.16 × 315,893.12
  4. Step 4: Simplify right side
    379,617.44x = 165,512,882,553.14
  5. Step 5: Solve for x
    x = 165,512,882,553.14/379,617.44
  6. Step 6: Final answer
    x = 435,999.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.